This volume constitutes the proceedings of the 2nd International Joint C- ference on Automated Reasoning (IJCAR 2004) held July 4 8, 2004 in Cork, Ireland. IJCAR 2004 continued the tradition established at the ?rst IJCAR in Siena, Italyin2001, whichbroughttogetherdi?erentresearchcommunitieswo- ing in automated reasoning. The current IJCAR is the fusion of the following conferences: CADE: The International Conference on Automated Deduction, CALCULEMUS: Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, FroCoS: Workshop on Frontiers of Combining Systems, FTP: The International Workshop on First-Order Theorem Proving, and TABLEAUX: The International Conference on Automated Reasoning with Analytic Tableaux and Related Methods. There were 74 research papers submitted to IJCAR as well as 12 system descriptions. After extensive reviewing, 26 research papers and 6 system - scriptions were accepted for presentation at the conference and publication in this volume. In addition, this volume also contains papers from the three invited speakers and a description of the CADE ATP system competition. We would like to acknowledge the enormous amount of work put in by the members of the program committee, the various organizing and steering c- mittees, the IJCAR o?cials, the invited speakers, and the additional referees named on the following pages. We would also like to thank Achim Brucker and Barbara Geiser for their help in producing this volume."

This volume contains the proceedings of the 10th International Conference on RewritingTechniques andApplicationsheldfromJuly2-4,1999inTrento, Italy, as part of the Federated Logic Conference (FLoC'99). The RTAconferences are dedicated to all aspects of term, string and graph rewriting as well as their applications such as lambda calculi, theorem-proving, functional programming, decision procedures. The program committee selected 23 papers as well as 4 system descriptions from 53 submissions of overall high quality (46 regular papers and 7 systems descriptions). The papers cover awide range of topics: constraint solving, ter- nation, deductionandhigher-orderrewriting, graphs, complexity, tree automata, context-sensitive rewriting, string rewriting and numeration systems::: by - thors from countries including: France, Germany, India, Israel, Italy, Japan, The Netherlands, Poland, Portugal, Spain, USA. B. Courcelle (Univ. Bordeaux) and F. Otto (Univ. Kassel) presented - vited talks, on graph grammars and connections between rewriting and formal language theory respectively. F. van Raamsdonk (CWI, Amsterdam) gave an invited tutorial on higher-order rewriting. Wewouldliketothanktheexternalreviewersfortheircontributiontoprep- ing the program and Horatiu Cirstea for his help in maintaining the web server of the program committ

This volume contains the papers preesented at the Third International Workshop on Conditional Term Rewriting Systems, held in Pont- -Mousson, France, July 8-10, 1992. Topics covered include conditional rewriting and its applications to programming languages, specification languages, automated deduction, constrained rewriting, typed rewriting, higher-order rewriting, and graph rewriting. The volume contains 40 papers, including four invited talks: Algebraic semantics of rewriting terms and types, by K. Meinke; Generic induction proofs, by P. Padawitz; Conditional term rewriting and first-order theorem proving, by D. Plaisted; and Decidability of finiteness properties (abstract), by L. Pacholski. The first CTRS workshop was held at the University of Paris in 1987 and the second at Concordia University, Montreal, in 1990. Their proceddings are published as Lecture Notes in Computer Science Volumes 308 and 516 respectively.